211222100021000 has 256 divisors, whose sum is σ = 530824253169600. Its totient is φ = 78387640320000.

The previous prime is 211222100020999. The next prime is 211222100021003. The reversal of 211222100021000 is 120001222112.

It can be written as a sum of positive squares in 32 ways, for example, as 7672357089604 + 203549742931396 = 2769902^2 + 14267086^2 .

It is a super-2 number, since 2×211222100021000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211222100021003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392924402 + ... + 393461598.

Almost surely, 2^{211222100021000} is an apocalyptic number.

211222100021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222100021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265412126584800).

211222100021000 is an abundant number, since it is smaller than the sum of its proper divisors (319602153148600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211222100021000 is a wasteful number, since it uses less digits than its factorization.

211222100021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537565 (or 537551 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211222100021000 its reverse (120001222112), we get a palindrome (211342101243112).

The spelling of 211222100021000 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred million, twenty-one thousand".